Question

Solve for W.

4w-4+2(5w+8)=-2(w+3)

Simplify your answer as much as possible.

Answer 1

1.125

Explanation:

we first open the brackets by multiplying every term inside the brackets by 2

We get the following equation: 4w-4+10w+16=-2w-6

collecting like terms together we get 4w+10w+2w=-6-16+4

16w=-18

dividing both sides by 16 we get w=18/16

=9/8

= 1 1/8 or 1.125

Answer 2

w =
`-(9)/(8)`

Explanation:

The question is
`4w-4+2(5w+8)=-2(w+3)`

We can first use distributive property to simplify, the distributive property is
`a(b+c)=ab+ac`

Thus we have:

`4w-4+2(5w+8)=-2(w+3)\\4w-4+10w+16=-2w-6`

Now we combine like terms and simplify to get the final answer for w.

`4w-4+10w+16=-2w-6\\14w+12=-2w-6\\14w+2w=-6-12\\16w=-18\\w=(-18)/(16)\\w=-(9)/(8)`

Thus, w =
`-(9)/(8)`